GCF of 8690/488, 5246/609
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8690/488, 5246/609 i.e 2/297192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8690/488, 5246/609.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 8690/488,5246/609?
Given fractions are 8690/488,5246/609
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 8690/488,5246/609, numerators are 8690,5246
Denominators are 488,609
The GCF of 8690,5246 is 2 .
LCM of 488,609 is 297192.
The greatest common factor of 8690/488,5246/609 = [GCF of 8690,5246]/[LCM of 488,609]= 2/297192
Therefore, the GCF of 8690/488,5246/609 is 2/297192.
To find the highest common factor of 8690,5246, we have to find the factors of both numbers and list the highest common factor.
The factors of 8690 are 1, 2, 5, 10, 11, 22, 55, 79, 110, 158, 395, 790, 869, 1738, 4345, 8690
The factors of 5246 are 1, 2, 43, 61, 86, 122, 2623, 5246
The HCF of 8690,5246 is 2.
Lets's calculate GCF of 8690,5246
| 2 | 8690, 5246 |
| 4345, 2623 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8690,5246 By Matching Biggest Common Factor Method
Now, list down the factors of 8690
:1,2,5,10,11,22,55,79,110,158,395,790,869,1738,4345,8690
Now, list down the factors of 5246
:1,2,43,61,86,122,2623,5246
Greatest Common Factor
We found the factors 8690,5246 . The biggest common factor number is the GCF number.
So the greatest common factor 8690,5246 is 2.
Lets's calculate LCM of 488,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 297192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/297192
Therefore, the GCF of Fractions 8690/488,5246/609 is 2/297192
Least Common Multiple of 488,609 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 488,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(488,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(488,609) x common factors =1 x 1 = 1
LCM(488,609) = ( 488 × 609 ) / 1
LCM(488,609) = 297192 / 1
LCM(488,609) = 297192
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FAQs on GCF of Fractions of 8690/488, 5246/609
1. What is the HCF of 8690,5246?
The HCF of 8690,5246 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 8690/488, 5246/609?
Answer: GCF of Numerators as per given numbers 8690/488, 5246/609 is
GCF of Numerators i.e. for 8690,5246 is 2
LCM of denominators i.e. for 488,609 is 297192.
Thus, GCF of Fractions is 2/297192.Finally, GCF of Fractions for 8690/488, 5246/609 is 2/297192.